Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/874,3486/4550
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 84,3486
Greatest Common Factor of Numerators i.e. GCF of 84,3486 is 42 .
LCM of Denominators means LCM of 874,4550 as per the given fractions.
LCM of 874,4550 is 1988350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,3486
2 | 84, 3486 |
3 | 42, 1743 |
7 | 14, 581 |
2, 83 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 3486
List of positive integer factors of 3486 that divides 3486 without a remainder.
1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486
Greatest Common Factor
We found the factors 84,3486 . The biggest common factor number is the GCF number.
So the greatest common factor 84,3486 is 42.
Lets's calculate LCM of 874,4550
2 | 874, 4550 |
437, 2275 |
∴ So the LCM of the given numbers is 2 x 437 x 2275 = 1988350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/1988350
Therefore, the GCF of Fractions 84/874,3486/4550 is 42/1988350
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 874,4550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,4550) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,4550) x common factors =2 x 1 = 2
LCM(874,4550) = ( 874 × 4550 ) / 2
LCM(874,4550) = 3976700 / 2
LCM(874,4550) = 1988350
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 84/874, 3486/4550?
Answer: GCF of Numerators as per given numbers 84/874, 3486/4550 is
GCF of Numerators i.e. for 84,3486 is 42
LCM of denominators i.e. for 874,4550 is 1988350.
Thus, GCF of Fractions is 42/1988350.Finally, GCF of Fractions for 84/874, 3486/4550 is 42/1988350.